Abstract
Shapiro steps in Bi2Sr2CaCu2O8+δ (BSCCO) high-Tc superconductor intrinsic Josephson junctions (IJJs) embedded in the external magnetic field applied parallel to the junction surface have been numerically studied by using the unified theory including both the electric and magnetic field couplings between neighboring Josephson junctions. It has been found that (I) the effect of the electric field coupling between neighboring Josephson junctions is not so crucial in the Shapiro steps of BSCCO IJJs, (II) the overall profiles of the I-V characteristics including Shapiro steps calculated for the same external magnetic induction are fairly similar with each other even if the junction lengths differ from each other, (III) the height of the Shapiro step decreases with increasing the external magnetic field but its magnetic field dependence does not so strongly depend on the number of stacked junctions, (IV) a Shapiro step device, which is hard for the external magnetic disturbance, can be made when the value of the SRshunt product is selected to be small for BSCCO IJJs, and (V) the Shapiro step and the flux flow could be treated separately under the presence of the external magnetic field.
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